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A213528
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E.g.f.: exp( Sum_{n>=1} Pell(n+1)*x^n/n ), where Pell(n) = A000129(n).
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0
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1, 2, 9, 62, 577, 6762, 95569, 1581398, 29985249, 640943954, 15247684249, 399543448878, 11434012567201, 354818583385658, 11867268458655393, 425562496103250758, 16288135278501487681, 662740598471482775202, 28565932640460309847081, 1300233394242252193354526
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OFFSET
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0,2
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LINKS
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FORMULA
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E.g.f.: A(x) = 1/(1-2*x-x^2) * exp( Sum_{n>=1} -Pell(n-1)*x^n/n ).
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EXAMPLE
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E.g.f.: A(x) = 1 + 2*x + 9*x^2/2! + 62*x^3/3! + 577*x^4/4! + 6762*x^5/5! +...
such that
log(A(x)) = 2*x + 5*x^2/2 + 12*x^3/3 + 29*x^4/4 + 70*x^5/5 + 169*x^6/6 + 408*x^7/7 + 985*x^8/8 +...+ A000129(n+1)*x^n/n +...
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PROG
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(PARI) {Pell(n)=polcoeff(x/(1-2*x-x^2 +x*O(x^n)), n)}
{a(n)=n!*polcoeff(exp(sum(m=1, n, Pell(m+1)*x^m/m)+x*O(x^n)), n)}
for(n=0, 30, print1(a(n), ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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